Assume it costs 30 cents to mail a letter weighing one ounce or less, and then 28 cents for each additional ounce or fraction of an ounce. Write a piecewise-defined function P(x) that represents the cost, in cents, of mailing a
Letter weighing between 0 and 3 ounces.
A) $\mathrm { P } ( \mathrm { x } ) = \left\{ \begin{array} { l l } 30 & \text { if } x \leq 1 \ 58 & \text { if } 1

Question

Assume it costs 30 cents to mail a letter weighing one ounce or less, and then 28 cents for each additional ounce or fraction of an ounce. Write a piecewise-defined function P(x) that represents the cost, in cents, of mailing a
Letter weighing between 0 and 3 ounces. 
A) $\mathrm { P } ( \mathrm { x } ) = \left\{ \begin{array} { l l } 30 & \text { if } x \leq 1 \ 58 & \text { if } 1 < x \leq 2 \ 86 & \text { if } 2 < x \leq 3 \end{array} \right.$
B) $P ( x ) = \left\{ \begin{array} { l l } 30 & \text { if } x < 1 \ 58 & \text { if } 1 \leq x < 2 \ 86 & \text { if } 2 \leq x < 3 \end{array} \right.$
C) $P ( x ) = \left\{ \begin{array} { l l } 30 & \text { if } 1 < x \leq 2 \ 58 & \text { if } 2 < x \leq 3 \ 86 & \text { if } 3 < x \leq 4 \end{array} \right.$
D) $\mathrm { P } ( \mathrm { x } ) = \left\{ \begin{array} { l l } 58 & \text { if } x \leq 1 \ 86 & \text { if } 1 < x \leq 2 \ 114 & \text { if } 2 < x \leq 3 \end{array} \right.$

Quizplus · Accepted Answer

The correct piecewise function must start with the base cost for up to one ounce (30 cents), then add 28 cents for each additional ounce or fraction thereof, resulting in 58 cents for up to two ounces, and 86 cents for up to three ounces, as outlined in option A.

Assume It Costs 30 Cents to Mail a Letter Weighing